{"id":"https://openalex.org/W3216749141","doi":"https://doi.org/10.1109/tac.2021.3131547","title":"Stabilization and Optimization of Discrete-Time Markovian Jump Linear Systems via Mode Feedback Control","display_name":"Stabilization and Optimization of Discrete-Time Markovian Jump Linear Systems via Mode Feedback Control","publication_year":2021,"publication_date":"2021-11-30","ids":{"openalex":"https://openalex.org/W3216749141","doi":"https://doi.org/10.1109/tac.2021.3131547","mag":"3216749141"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3131547","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3131547","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073920053","display_name":"Jin Zhu","orcid":"https://orcid.org/0000-0002-6038-4339"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jin Zhu","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0002-6038-4339","affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101550565","display_name":"Kai Xia","orcid":"https://orcid.org/0000-0003-2363-6290"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai Xia","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0003-2363-6290","affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007719477","display_name":"Qiang Ling","orcid":"https://orcid.org/0000-0001-5688-4130"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Ling","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0001-5688-4130","affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101559705","display_name":"Wei Chen","orcid":"https://orcid.org/0000-0001-6302-0840"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Chen","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0001-6302-0840","affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061952552","display_name":"Geir E. Dullerud","orcid":"https://orcid.org/0000-0003-0596-6050"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Geir E. Dullerud","raw_affiliation_strings":["Department of Mechanical Science and Engineering, University of Illinois at Urbana–Champaign, Urbana, IL, USA"],"raw_orcid":"https://orcid.org/0000-0003-0596-6050","affiliations":[{"raw_affiliation_string":"Department of Mechanical Science and Engineering, University of Illinois at Urbana–Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5073920053"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":1.1101,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.78074033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"67","issue":"12","first_page":"6505","last_page":"6520"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9836999773979187,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8350450992584229},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.585925817489624},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5405437350273132},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5115764737129211},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.47406429052352905},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.46903571486473083},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4657609760761261},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44776803255081177},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4404560923576355},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4352272152900696},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.419005423784256},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.41485902667045593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4009218215942383},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.30628669261932373},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2492571473121643}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8350450992584229},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.585925817489624},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5405437350273132},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5115764737129211},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.47406429052352905},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.46903571486473083},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4657609760761261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44776803255081177},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4404560923576355},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4352272152900696},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.419005423784256},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.41485902667045593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4009218215942383},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.30628669261932373},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2492571473121643},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2021.3131547","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3131547","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7699999809265137,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1912449537","display_name":null,"funder_award_id":"61973289","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5653458562","display_name":null,"funder_award_id":"2008085MF198","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W597772687","https://openalex.org/W1490978409","https://openalex.org/W1526071765","https://openalex.org/W1530239534","https://openalex.org/W1552094772","https://openalex.org/W1900371862","https://openalex.org/W1981518949","https://openalex.org/W1988652508","https://openalex.org/W1995063858","https://openalex.org/W1995875215","https://openalex.org/W2002579908","https://openalex.org/W2043270542","https://openalex.org/W2051556621","https://openalex.org/W2055240919","https://openalex.org/W2062974796","https://openalex.org/W2075735270","https://openalex.org/W2091475503","https://openalex.org/W2093831009","https://openalex.org/W2097902574","https://openalex.org/W2098898086","https://openalex.org/W2102041738","https://openalex.org/W2103262285","https://openalex.org/W2107954709","https://openalex.org/W2126119476","https://openalex.org/W2126717326","https://openalex.org/W2129492921","https://openalex.org/W2131387339","https://openalex.org/W2132093964","https://openalex.org/W2136199125","https://openalex.org/W2138802309","https://openalex.org/W2139656224","https://openalex.org/W2140902856","https://openalex.org/W2143181390","https://openalex.org/W2146447376","https://openalex.org/W2151358087","https://openalex.org/W2153188087","https://openalex.org/W2164394936","https://openalex.org/W2168808496","https://openalex.org/W2201712813","https://openalex.org/W2484646121","https://openalex.org/W2492575127","https://openalex.org/W2503052844","https://openalex.org/W2516032703","https://openalex.org/W2565467900","https://openalex.org/W2748862026","https://openalex.org/W2989988517","https://openalex.org/W3009501233","https://openalex.org/W3210839039","https://openalex.org/W6678502593"],"related_works":["https://openalex.org/W2351666715","https://openalex.org/W2757332726","https://openalex.org/W1967543778","https://openalex.org/W2382902960","https://openalex.org/W2369384937","https://openalex.org/W2793265400","https://openalex.org/W2352146386","https://openalex.org/W2057933140","https://openalex.org/W2029333469","https://openalex.org/W2380412954"],"abstract_inverted_index":{"This":[0],"article":[1],"is":[2,17,36,46,60,88,94,110,117,130],"devoted":[3],"to":[4,38,48,62,96,180],"a":[5,20,31,64,91,120,125,140,163],"specific":[6,145],"kind":[7],"of":[8,83,170,184],"discrete-time":[9],"switched":[10],"linear":[11,26,153],"systems,":[12,30],"where":[13,143],"the":[14,40,50,55,70,74,80,84,98,104,107,113,134,150,157,168,171,182,185],"switching":[15,51],"signal":[16],"governed":[18],"by":[19],"Markov":[21],"chain,":[22],"i.e.,":[23],"Markovian":[24,151],"jump":[25,152],"systems.":[27],"For":[28],"such":[29],"mode":[32,41,57,75,85,127,159,187],"feedback":[33,58,76,86,128,160,188],"control":[34,77,87,189],"mechanism":[35],"adopted":[37],"adjust":[39],"transition":[42],"probability":[43],"matrix,":[44],"which":[45],"referred":[47],"as":[49],"law":[52],"design,":[53],"and":[54,73,90,124,166],"optimal":[56,158,173],"controller":[59,129,161],"sought":[61],"minimize":[63],"quadratic":[65],"performance":[66,115],"index":[67,116],"containing":[68],"both":[69],"system":[71,109],"state":[72],"input.":[78],"First,":[79],"admissible":[81,135],"set":[82],"investigated,":[89],"sufficient":[92],"condition":[93],"derived":[95,132],"ensure":[97],"desired":[99],"stochastic":[100],"stability.":[101],"Second,":[102],"under":[103],"assumption":[105],"that":[106],"concerned":[108],"mode-cost":[111],"sequential,":[112],"original":[114],"approximated":[118],"into":[119],"new":[121],"tractable":[122],"one":[123],"suboptimal":[126],"then":[131],"within":[133],"set.":[136],"Third,":[137],"we":[138],"consider":[139],"general":[141],"situation":[142],"no":[144],"requirements":[146],"are":[147,178],"imposed":[148],"on":[149],"systems\u2019":[154],"dynamics,":[155],"derive":[156],"via":[162],"value-iteration-based":[164],"algorithm,":[165],"prove":[167],"convergence":[169],"obtained":[172],"controller.":[174],"Finally,":[175],"simulation":[176],"results":[177],"provided":[179],"illustrate":[181],"validity":[183],"proposed":[186],"mechanism.":[190]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}